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Finding the Third Proportional to 126,414 and 272,754

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Solution

The third proportional to 126,414 and 272,754 is: 588,500.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,414 : 272,754 = 272,754 : x
  2. Step 2: Convert to fraction form
    126,414/272,754 = 272,754/x
  3. Step 3: Cross multiply
    126,414x = 272,754 × 272,754
  4. Step 4: Simplify right side
    126,414x = 74,394,744,516
  5. Step 5: Solve for x
    x = 74,394,744,516/126,414
  6. Step 6: Final answer
    x = 588,500.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.